Finite Group Databasebeta

← Group #169484

Character table — Group #169484

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-11-1-11-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1111-1-1111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1111-1-1111-1-1-11-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-1-1-1-1-1-111-1-11-1111111111-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1111111
χ9111111111-1-1-1-111111-111-111-1-1-1-1-11111-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-111-111-1-1-1-1-11111-1-1-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-111-1-1-1-1-1111-1-11-11-1111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-111111-111-1-1-1-1-1111-1-11-11-11-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ14111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-11
χ15111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-11-111-1-111-1-1-1-111-11
χ16111111111-1-1-1-111111-1-1-1-1-1-11111111-1-1-11-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-22200-200000002-200-20200000000000000
χ1822222222222-2-2-2-2-2-22200-20000000-220020-200000000000000
χ19222222222-2-222-2-2-2-22-200200000002-20020-200000000000000
χ20222222222-2-222-2-2-2-22-20020000000-2200-20200000000000000
χ2122222222-2222222-2-2-2-222-2002200000-200-2000000000000000
χ2222222222-2222222-2-2-2-2-2-2-200-2-2000002002000000000000000
χ2322222222-222-2-2-2-222-2-20022200-2-22000-200000000000000000
χ2422222222-222-2-2-2-222-2-2002-2-20022-2000200000000000000000
χ2522222222-2-2-222-2-222-2200-2220022-2000-200000000000000000
χ2622222222-2-2-222-2-222-2200-2-2-200-2-22000200000000000000000
χ2722222222-2-2-2-2-222-2-2-2222200-2-200000-2002000000000000000
χ2822222222-2-2-2-2-222-2-2-22-2-22002200000200-2000000000000000
χ2922-22-2-22-202i−2i2i−2i2-200002i−2i0002-20000000000i2−i22−200002−2i2−i200
χ3022-22-2-22-202i−2i2i−2i2-200002i−2i0002-20000000000−i2i2−220000−22−i2i200
χ3122-22-2-22-202i−2i2i−2i2-20000−2i2i000-220000000000i2−i22−20000−22−i2i200
χ3222-22-2-22-202i−2i2i−2i2-20000−2i2i000-220000000000−i2i2−2200002−2i2−i200
χ3322-22-2-22-20−2i2i−2i2i2-200002i−2i000-220000000000i2−i2−2200002−2−i2i200
χ3422-22-2-22-20−2i2i−2i2i2-200002i−2i000-220000000000−i2i22−20000−22i2−i200
χ3522-22-2-22-20−2i2i−2i2i2-20000−2i2i0002-20000000000i2−i2−220000−22i2−i200
χ3622-22-2-22-20−2i2i−2i2i2-20000−2i2i0002-20000000000−i2i22−200002−2−i2i200
χ3744-44-4-44-404i−4i−4i4i-4400000000000000000000000000000000000
χ3844-44-4-44-40−4i4i4i−4i-4400000000000000000000000000000000000
χ3944-4-44-4-4400000004-40000000004i−4i0000000000000000000000
χ4044-4-44-4-4400000004-4000000000−4i4i0000000000000000000000
χ4144-4-44-4-440000000-44000004i−4i00000000000000000000000000
χ4244-4-44-4-440000000-4400000−4i4i00000000000000000000000000
χ434-4-4-4444-4400000000-400000000000000000000002i2−2i200000000
χ444-4-4-4444-4400000000-40000000000000000000000−2i22i200000000
χ454-4-4-4444-4-400000000400000000000000000000000022−22000000
χ464-4-4-4444-4-4000000004000000000000000000000000−2222000000
χ47888-8-88-8-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).